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38114344447632 = 2432264682947553
BaseRepresentation
bin10001010101010001011111…
…11101100010111010010000
311222221200210012022221111100
420222220233331202322100
514443431134134311012
6213021253233344400
711012445662233125
oct1052505775427220
9158850705287440
1038114344447632
1111165225890192
124336994a08100
13183622361287b
1495aa5bbc674c
1546169544a8dc
hex22aa2ff62e90

38114344447632 has 30 divisors (see below), whose sum is σ = 106667227864262. Its totient is φ = 12704781482496.

The previous prime is 38114344447631. The next prime is 38114344447639. The reversal of 38114344447632 is 23674444341183.

It is a happy number.

38114344447632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20212001842176 + 17902342605456 = 4495776^2 + 4231116^2 .

It is not an unprimeable number, because it can be changed into a prime (38114344447631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132341473633 + ... + 132341473920.

Almost surely, 238114344447632 is an apocalyptic number.

It is an amenable number.

38114344447632 is an abundant number, since it is smaller than the sum of its proper divisors (68552883416630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38114344447632 is a wasteful number, since it uses less digits than its factorization.

38114344447632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264682947567 (or 264682947558 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 38114344447632 in words is "thirty-eight trillion, one hundred fourteen billion, three hundred forty-four million, four hundred forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 264682947553 529365895106 794048842659 1058731790212 1588097685318 2117463580424 2382146527977 3176195370636 4234927160848 4764293055954 6352390741272 9528586111908 12704781482544 19057172223816 38114344447632